Solve the problem.
-In a survey of 421 computer buyers, 213 put price as a main consideration, 205 put performance as a main consideration, and 57 listed both price and performance. How many computer buyers listed other
Considerations? How many looked only for performance?
A) 117; 205
B) 156; 148
C) 60; 205
D) 60; 148

Question

Quizplus · Accepted Answer

To find the number of computer buyers who listed other considerations, we first find the total number of buyers who listed price or performance or both. This is given by the formula for the union of two sets: |A ∪ B| = |A| + |B| - |A ∩ B|, where A is the set of buyers considering price, B is the set considering performance, and A ∩ B is the set considering both. Substituting the given numbers, we get 213 (price) + 205 (performance) - 57 (both) = 361. Subtracting this from the total number of buyers (421) gives 421 - 361 = 60 buyers who listed other considerations. To find the number of buyers who looked only for performance, we subtract those who considered both from the total considering performance: 205 (performance) - 57 (both) = 148.

Solve the Problem. -In a Survey of 421 Computer Buyers, 213 Put Price